Answer:
P = 0.4812
Step-by-step explanation:
First, we need to use here two expressions and then do the calculations.
The first one is the conditional probability which is:
P(B|A) = P(A∩B)/P(A) (1)
The second expression to use has relation with the Bayes's theorem which is the following:
P(D|C) = P(C|D)*P(D) / P(C|D)*P(D) + P(C|d)*P(d) (2)
Now, the expression (2) is the one that we will use to calculate the probability of a selected random bicyclist who tests positive for steroids.
So, in this case, we will call C for positive and D that is using steroids and d is the opposite of d, which means do not use steroids.
Then, the probabilities are the following:
P(D) = 8% or 0.08
P(C|D) = 96% or 0.96
P(C|d) = 9% or 0.09
P(d) = 1 - 0.08 = 0.92
With these data, let's replace in expression 2
P(D|C) = 0.96 * 0.08 /0.96 * 0.08 + 0.09*0.92
P(D|C) = 0.0768 / 0.1596
P(D|C) = 0.4812 or 48.12%
48.
For the rectangle, 4x6 =24
For the triangle, area of the triangle is 1/2 x base x height. So, 24.
Add together is 48
Answer:
20
Step-by-step explanation:
1. substitute x for (4)
2. multiply 5(4)
3. The answer is 20
Answer:
52,322 gal
Step-by-step explanation:
will make it simple and short.
vol = ( a + b ) * h/2 times the depth
vol = (10 + 4) x (40/2) x 30 = 8400 cu. ft. ---------->>> then convert to gal.
6.2288 gal
vol = 8400cu.ft. x ----------------- = 52,322 gal
1 cu.ft.
Answer:
The area of the rectangle is 15y^6 -40y^5 + 10y^4
Step-by-step explanation:
In this question, given the width and length of a rectangle in polynomial form, we are asked to express the area of the rectangle in terms of the polynomials.
Generally, the area of a rectangle A is mathematically equal to Length * width
Using the terms in the question, our area A = 5y^3 [3y^3 -8y^2 +2y]
Opening this bracket we have;
15y^6 -40y^5 + 10y^4
